Abstract
A Kohonen network as a self-organizing mechanism supplies an important contribution in the development of neural networks. The learning aspect is mainly aimed at the quantification of vectors, which can be accompanied by a reduction of the dimension. Further, the property that “shapes” remain kept with self-organizing feature maps, makes the Kohonen network a very strong instrument.
A striking fact is that both anatomically and functionally certain cortex areas can be discerned that have similar properties as Kohonen networks. Examples are the processing of sound and light stimuli.
With respect to the theoretical properties of Kohonen networks little is known. Especially the rate of convergence related to the time-dependent learning factor is an uncertain aspect. For the application to the TSP no theoretical foundation is present indicating the quality of the heuristic. In conclusion, a Kohonen network appears to be a promising technique for which coming mathematical foundations have to show the quality as well as future directions of development.
In the appendix a further application of the self-organizing property of a Kohonen network is worked out. This example is given by Henseler and Postma (1990).
Preview
Unable to display preview. Download preview PDF.
References
B. Angéniol, G. de la Croix Vaubois and J.Y. le Texier (1988) Self-organizing feature maps and the Travelling Salesman problem. Neural Networks 1, 289–293
D.O. Hebb (1949) The Organization of Behavior. Wiley, New York.
H. Henseler and E. Postma (1990) Self-organization as computational principle (in Dutch). Convex 6, 16–19.
T. Kohonen (1988) An introduction to neural computing. Neural Networks 1, 3–16.
T. Kohonen (1988) Self-Organization and Associative Memory. (2nd ed.), Springer-Verlag, Berlin.
H.J. Ritter, T.M. Martinetz and K.J. Schulten (1989) Topology-conserving maps for learning risoco-motor-coordination. Neural Networks 2, 159–168.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Vrieze, O.J. (1995). Kohonen network. In: Braspenning, P.J., Thuijsman, F., Weijters, A.J.M.M. (eds) Artificial Neural Networks. Lecture Notes in Computer Science, vol 931. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0027024
Download citation
DOI: https://doi.org/10.1007/BFb0027024
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-59488-8
Online ISBN: 978-3-540-49283-2
eBook Packages: Springer Book Archive